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61200622120 = 23511295981293
BaseRepresentation
bin111000111111110101…
…110110001000101000
312211222011202201200011
4320333311312020220
52000314324401440
644040513421304
74264415463511
oct707765661050
9184864681604
1061200622120
1123a56179250
12ba3bb6a834
135a0440b891
142d68105a08
1518d2d629ea
hexe3fd76228

61200622120 has 128 divisors (see below), whose sum is σ = 158035536000. Its totient is φ = 21122913280.

The previous prime is 61200622019. The next prime is 61200622123. The reversal of 61200622120 is 2122600216.

It is a super-2 number, since 2×612006221202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 61200622091 and 61200622100.

It is not an unprimeable number, because it can be changed into a prime (61200622123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712194 + ... + 793486.

It is an arithmetic number, because the mean of its divisors is an integer number (1234652625).

Almost surely, 261200622120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61200622120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79017768000).

61200622120 is an abundant number, since it is smaller than the sum of its proper divisors (96834913880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61200622120 is a wasteful number, since it uses less digits than its factorization.

61200622120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81403 (or 81399 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 61200622120 in words is "sixty-one billion, two hundred million, six hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 59 88 110 116 118 145 220 232 236 290 295 319 440 472 580 590 638 649 1160 1180 1276 1298 1595 1711 2360 2552 2596 3190 3245 3422 5192 6380 6490 6844 8555 12760 12980 13688 17110 18821 25960 34220 37642 68440 75284 81293 94105 150568 162586 188210 325172 376420 406465 650344 752840 812930 894223 1625860 1788446 2357497 3251720 3576892 4471115 4714994 4796287 7153784 8942230 9429988 9592574 11787485 17884460 18859976 19185148 23574970 23981435 25932467 35768920 38370296 47149940 47962870 51864934 52759157 94299880 95925740 103729868 105518314 129662335 139092323 191851480 207459736 211036628 259324670 263795785 278184646 422073256 518649340 527591570 556369292 695461615 1037298680 1055183140 1112738584 1390923230 1530015553 2110366280 2781846460 3060031106 5563692920 6120062212 7650077765 12240124424 15300155530 30600311060 61200622120